PauliEngine: High-Performant Symbolic Arithmetic for Quantum Operations

TL;DR

PauliEngine is a high-performance C++ framework that enables fast symbolic and numerical manipulation of Pauli operators, supporting scalable quantum software development.

Contribution

It introduces a novel, optimized binary symplectic representation for efficient Pauli operator computations with a Python interface.

Findings

Demonstrates substantial speedups over existing implementations.

Supports both numerical and symbolic coefficients.

Provides a scalable backend for quantum software tools.

Abstract

Quantum computation is inherently hybrid, and fast classical manipulation of qubit operators is necessary to ensure scalability in quantum software. We introduce PauliEngine, a high-performance C++ framework that provides efficient primitives for Pauli string multiplication, commutators, symbolic phase tracking, and structural transformations. Built on a binary symplectic representation and optimized bit-wise operations, PauliEngine supports both numerical and symbolic coefficients and is accessible through a Python interface. Runtime benchmarks demonstrate substantial speedups over state-of-the-art implementations. PauliEngine provides a scalable backend for operator-based quantum software tools and simulations.